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3 years ago

Are similar polygons congruent?

2 answers:

5 0

Polygons are similar when they have the same number of sides,
their corresponding angles are equal, and their corresponding
sides are all in the same ratio.

When that ratio is ' 1 ', they are also congruent.

That can happen sometimes, but it doesn't always have to happen.

Tpy6a [65]3 years ago

3 0

Only if they are the same shape and size...

Answer: B

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Suppose 12% of students chose to study Spanish their freshman year, and that meant that there were 15 such students. How many st

Allisa [31]

Answer:

110

Step-by-step explanation:

If 12% studied Spanish, then 88% did not. The ratio of those who did not to those who did is ...

88 : 12 = 22 : 3

Then the number of students who did not study Spanish is ...

(22/3)×15 = 110 . . . . did not study Spanish

7 0

2 years ago

Which list is in order from least to greatest? 1.94 x 10 1.25x 10.6x109.8.1 x 10 O 1.25x 10-2 194 10*6x10* 8.1 x 10 O 1.25x 10-2

pickupchik [31]

Answer:

$(a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}$

Step-by-step explanation:

Given

$(a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}$

$(b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}$

$(c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}$

$(d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4$

Required

Which list is in ascending order

To do this, we analyze each of the options 1 after the other.

$(a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}$

Convert each list item to decimal

$1.94 * 10 ^-5 = 0.0000194$

$1.25 *10 ^-2 = 0.0125$

$6 *10^{4} = 60000$

$8.1 *10^{4} = 81000$

The list is in ascending order because:

$0.0000194 < 0.0125 < 60000 < 81000$

<em>No need to test other options</em>

5 0

2 years ago

Does the equation represent a direct variation? If so, find the constant of variation. 2x - 4y = 0 Question 1 options: yes; k =

riadik2000 [5.3K]

Just gonna give you the answer:

The constant variation is 1/2

3 0

3 years ago

A 4-pound bag of charcoal coasts $7.44. what is the unit price?

Paha777 [63]

Answer: use a calculator or ask for help

Step-by-step explanation:

4 0

2 years ago

Stats To quality for a police academy, applicants are given a lest of physical Itness. Ihe scores are normallyDistributed with a

omeli [17]

Since we want just the top 20% applicants and the data is normally distributed, we can use a z-score table to check the z-score that gives this percentage.

The z-score table usually shows the percentage for the values below a certain z-score, but since the whole distribution accounts to 100%, we can do the following.

We want a z* such that:

$P(z>z^*)=0.20$

But, to use a value that is in a z-score table, we do the following:

$\begin{gathered} P(zz^*)=1 \\ P(zz^*)=1-0.20=0.80 \end{gathered}$

So, we want a z-score that give a percentage of 80% for the value below it.

Using the z-score table or a z-score calculator, we can see that:

$\begin{gathered} P(zNow that we have the z-score cutoff, we can convert it to the score cutoff by using:[tex]z=\frac{x-\mu}{\sigma}\Longrightarrow x=z\sigma+\mu$

Where z is the z-score we have, μ is the mean and σ is the standard deviation, so:

$\begin{gathered} x=0.8416\cdot9+64 \\ x=7.5744.64 \\ x=71.5744\cong72 \end{gathered}$

so, the cutoff score is approximately 72.

6 0

1 year ago